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132104412 = 2233113919
BaseRepresentation
bin1111101111111…
…00000011011100
3100012120121012000
413313330003130
5232304320122
621035242300
73162604026
oct767740334
9305517160
10132104412
116862a000
12382a9390
13214a45bb
141378b016
15b8e70ac
hex7dfc0dc

132104412 has 96 divisors (see below), whose sum is σ = 377126400. Its totient is φ = 39988080.

The previous prime is 132104411. The next prime is 132104429. The reversal of 132104412 is 214401231.

132104412 is a `hidden beast` number, since 13 + 210 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143289 + ... + 144207.

It is an arithmetic number, because the mean of its divisors is an integer number (3928400).

Almost surely, 2132104412 is an apocalyptic number.

132104412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188563200).

132104412 is an abundant number, since it is smaller than the sum of its proper divisors (245021988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132104412 is a wasteful number, since it uses less digits than its factorization.

132104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132104412 is about 11493.6683439188. The cubic root of 132104412 is about 509.2985512478.

Adding to 132104412 its reverse (214401231), we get a palindrome (346505643).

The spelling of 132104412 in words is "one hundred thirty-two million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 919 1089 1188 1331 1452 1838 2178 2662 2757 3267 3676 3993 4356 5324 5514 6534 7986 8271 10109 11028 11979 13068 15972 16542 20218 23958 24813 30327 33084 35937 40436 47916 49626 60654 71874 90981 99252 111199 121308 143748 181962 222398 272943 333597 363924 444796 545886 667194 1000791 1091772 1223189 1334388 2001582 2446378 3002373 3669567 4003164 4892756 6004746 7339134 11008701 12009492 14678268 22017402 33026103 44034804 66052206 132104412